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Finding the Fourth Proportional to 2,474.96, 3,709.58 and 1,377.13

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Solution

The fourth proportional to 2,474.96, 3,709.58 and 1,377.13 is: 2,064.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.96 : 3,709.58 = 1,377.13 : x
  2. Step 2: Convert to fraction form
    2,474.96/3,709.58 = 1,377.13/x
  3. Step 3: Cross multiply
    2,474.96x = 3,709.58 × 1,377.13
  4. Step 4: Simplify right side
    2,474.96x = 5,108,557.75
  5. Step 5: Solve for x
    x = 5,108,557.75/2,474.96
  6. Step 6: Final answer
    x = 2,064.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.